Example: Interval & Set Builder Notation Example: Finding Function Values
17,18,19,20.....write in set builder and interval notation: If f(x) = 5x -4x+6, find f(3)
Plug in f(3) = 5(3)-4(3)+6 ...f(3) = 15-12+6 answer: f(3) = 9
Description: The first answer is written in set-builder notation.It is read
x such that x is greater than or equal to 17. x is the element of the reals.
The second answer is written in interval notation.Use a bracket around the
seventeen since it is included. Use a positive infinity since you want it greater
than seventeen and use a parenthesis.
17,18,19,20.....write in set builder and interval notation: If f(x) = 5x -4x+6, find f(3)
Plug in f(3) = 5(3)-4(3)+6 ...f(3) = 15-12+6 answer: f(3) = 9
Description: The first answer is written in set-builder notation.It is read
x such that x is greater than or equal to 17. x is the element of the reals.
The second answer is written in interval notation.Use a bracket around the
seventeen since it is included. Use a positive infinity since you want it greater
than seventeen and use a parenthesis.
Example: Determining Domain
Description:
You are trying to find the domain of the function h(t). Foil the
bottom of the equation and you get (t+3)(t+3). The answer is
written is set-builder notation and it reads t such that t can not
equal -3. T is an element of the reals.
Description:
You are trying to find the domain of the function h(t). Foil the
bottom of the equation and you get (t+3)(t+3). The answer is
written is set-builder notation and it reads t such that t can not
equal -3. T is an element of the reals.
Example: Identifying Functions......Domain=x ...Range=y
Vertical Line Test:
Description: You have your x-domain and your y-range.
What you do is plot the points on your graph. Use the vertical
line test to determine if it is a function. If the line crosses two
points anywhere on the graph, then it is not a function.
Vertical Line Test:
Description: You have your x-domain and your y-range.
What you do is plot the points on your graph. Use the vertical
line test to determine if it is a function. If the line crosses two
points anywhere on the graph, then it is not a function.
Example: Evaluating Piecewise Functions (APPLICATION)
TIPPING: A restaurant patron has decided to leave a 15% tip for meals costing up to $40, an 18% tip for meals costing at least $40 but less than $100, and a 20% tip for meals costing $100 or more. Write a piecewise function to describe the total amount (t) the patron will pay in terms of the meal cost (c).
TIPPING: A restaurant patron has decided to leave a 15% tip for meals costing up to $40, an 18% tip for meals costing at least $40 but less than $100, and a 20% tip for meals costing $100 or more. Write a piecewise function to describe the total amount (t) the patron will pay in terms of the meal cost (c).